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Finding the Fourth Proportional to 541.35, 811.91 and 194.70

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Solution

The fourth proportional to 541.35, 811.91 and 194.70 is: 292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.35 : 811.91 = 194.70 : x
  2. Step 2: Convert to fraction form
    541.35/811.91 = 194.70/x
  3. Step 3: Cross multiply
    541.35x = 811.91 × 194.70
  4. Step 4: Simplify right side
    541.35x = 158,078.88
  5. Step 5: Solve for x
    x = 158,078.88/541.35
  6. Step 6: Final answer
    x = 292.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.